I have used Filezilla and CoreFTP for when me and friends have had gaming servers, but what exactly would you need and FTP client for web design and do you necessarily need one?

Think of webdesign the same as loading maps or mods for your gaming servers. With out FTP you have to go through the cpanel to add files and sometimes , ok most of the time, that is just a pain in the butt.
When loading maps on a server they usually have their own folder they go into other wise you end up with a jumbled mess on the server. A website is the same way. Just instead you place the files in the appropriate folder. Typically public_html

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Ok cool. So basically, if I was to edit a site in Dreamweaver, I would save it and upload it through an FTP client?

You wouldn't have to but it would be alot easier. You could always use the cpanel to upload.
Cpanel is like the gameservers.com web innerface for adding files to a server. It works just not the easiest way to do it.

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Oh ok, Thanks for the help!

No worries

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